TY - GEN
T1 - Boundary stabilization for a class of hyperbolic PDEs with a free end
AU - Li, Xiaoguang
AU - Liu, Jinkun
PY - 2012
Y1 - 2012
N2 - In this paper, the problem of boundary feedback stabilization for a class of hyperbolic partial differential equations (PDEs) is considered by using the backstepping approach. We show that, under certain mathematical conditions the closed-loop system could become stable exponentially at a given decay rate. The mappings between the original and the transformed systems are constructed, in which the boundary conditions of the kernel functions are discussed.
AB - In this paper, the problem of boundary feedback stabilization for a class of hyperbolic partial differential equations (PDEs) is considered by using the backstepping approach. We show that, under certain mathematical conditions the closed-loop system could become stable exponentially at a given decay rate. The mappings between the original and the transformed systems are constructed, in which the boundary conditions of the kernel functions are discussed.
KW - Backstepping approach for PDEs
KW - Boundary control
KW - Exponential stability
KW - Hyperbolic partial differential equations (PDEs)
KW - Volterra transformation
UR - https://www.scopus.com/pages/publications/84874411848
U2 - 10.1109/IMCCC.2012.57
DO - 10.1109/IMCCC.2012.57
M3 - 会议稿件
AN - SCOPUS:84874411848
SN - 9780769549354
T3 - Proceedings of the 2012 2nd International Conference on Instrumentation and Measurement, Computer, Communication and Control, IMCCC 2012
SP - 215
EP - 218
BT - Proceedings of the 2012 2nd International Conference on Instrumentation and Measurement, Computer, Communication and Control, IMCCC 2012
T2 - 2012 2nd International Conference on Instrumentation and Measurement, Computer, Communication and Control, IMCCC 2012
Y2 - 8 December 2012 through 10 December 2012
ER -